轴对称问题的回弹变分原理

本文引入了回弹反耦联系统和回弹反耦联方程的概念。应用加权余量法于该回弹反耦联方程 ,建立了轴对称问题的回弹势能原理和回弹余能原理。应用拉氏乘子法于该回弹势能原理和回弹余能原理 ,建立了轴对称问题的广义回弹势能原理和广义回弹余能原理。同时 ,应用该回弹势能原理于纯弯曲梁的回弹变形计算

SPRINGBACK VARIATION PRINCIPLES OF AXISYMMETRIC PROBLEMS

The conceptions of springback anti coupled systems and equations are introduced in this paper.In terms of the weighted residual method to the springback anti coupled equations,the springback potential energy principle and springback complementary energy principle of axisymmetric problems are established.The Generalized springback potential energy principle,and generalized springback complementary energy principle of axisymmetric problems are founded by Lagrange's multiplier method to the springback potential energy principle and the springback complementary energy principle.Meanwhile,the springback potential energy principle is applied to calculate the springback deformation of a pure bending of curved beam.